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Finding the Fourth Proportional to 5,294.74, 7,306.74 and 2,937.34

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Solution

The fourth proportional to 5,294.74, 7,306.74 and 2,937.34 is: 4,053.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.74 : 7,306.74 = 2,937.34 : x
  2. Step 2: Convert to fraction form
    5,294.74/7,306.74 = 2,937.34/x
  3. Step 3: Cross multiply
    5,294.74x = 7,306.74 × 2,937.34
  4. Step 4: Simplify right side
    5,294.74x = 21,462,380.65
  5. Step 5: Solve for x
    x = 21,462,380.65/5,294.74
  6. Step 6: Final answer
    x = 4,053.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.